Topics in Nonlinear Functional Analysis - Brossura

Nirenberg, Louis

 
9780821828199: Topics in Nonlinear Functional Analysis
Brossura
ISBN 10: 0821828193 ISBN 13: 9780821828199
Casa editrice: Amer Mathematical Society, 2001

Sinossi

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz's global bifurcation theorem. Stability of the branches is also studied.The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. After more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text.

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Product Description

Book by Louis Nirenberg

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Editore
Amer Mathematical Society
Data di pubblicazione
2001
Lingua
Inglese
ISBN 10 
0821828193
ISBN 13 
9780821828199
Rilegatura
Copertina flessibile
Numero di pagine
145
Contatto del produttore
non disponibile
Persona responsabile
non disponibile